GCD of 294, 471, 31, 980 Calculator

Given Input numbers are 294, 471, 31, 980

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 294, 471, 31, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 471, 31, 980 is 1.

Therefore, GCD of numbers 294, 471, 31, 980 is 1

Given Input Data is 294, 471, 31, 980

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 471 is 3 x 157

Prime Factorization of 31 is 31

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(294, 471) = 46158

GCD(294, 471) = ( 294 x 471 ) / 46158

GCD(294, 471) = 138474 / 46158

GCD(294, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 31

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 31) = 93

GCD(3, 31) = ( 3 x 31 ) / 93

GCD(3, 31) = 93 / 93

GCD(3, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 294, 471, 31, 980 is 1

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• GCD of 268, 291, 29, 376
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1. What is the GCD of 294, 471, 31, 980?

GCD of 294, 471, 31, 980 is 1

2. Where do I get the detailed procedure to find GCD of 294, 471, 31, 980?

You can find a detailed procedure to find GCD of 294, 471, 31, 980 on our page.

3. How to find GCD of 294, 471, 31, 980 on a calculator?

You can find the GCD of 294, 471, 31, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.